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MisterEko
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gettinit
x/(3/8) = (8x/3)*(5/6) = 20x/9 ....so this would be same as dividing x/(9/20). Ans D.

Your answer is correct, but I am still struggling with understanding why it isn't 20/9, which is what i chose. Care to elaborate a bit more?


It can't be 20/9 because lets say you x/(20/9) you would end up with 9x/20. The question asks that what would be same as dividing by 3/8 and then multiplying by 5/6? Well when you divide x by 3/8 and the multiply it by 5/6 you get 20x/9 as I stated above so therefore to get 20x/9 you have to divide x/9/20 - you always flip the fraction in the denominator to turn the problem into multiplication so its easier to solve.

Hope it helps.
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gettinit
x/(3/8) = (8x/3)*(5/6) = 20x/9 ....so this would be same as dividing x/(9/20). Ans D.

Your answer is correct, but I am still struggling with understanding why it isn't 20/9, which is what i chose. Care to elaborate a bit more?


It can't be 20/9 because lets say you x/(20/9) you would end up with 9x/20. The question asks that what would be same as dividing by 3/8 and then multiplying by 5/6? Well when you divide x by 3/8 and the multiply it by 5/6 you get 20x/9 as I stated above so therefore to get 20x/9 you have to divide x/9/20 - you always flip the fraction in the denominator to turn the problem into multiplication so its easier to solve.

Hope it helps.

That does help, actually. I appreciate it, mate! Kudos!
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Dividing by 3/8 and multiplying by 5/6 is the same as dividing by what number?

A) 3 1/5

B) 16/5

C) 20/9

D) 9/20

E) 5/16

So, we got that if we divide x by 3/8 and multiply by 5/6, we'll get \(\frac{20}{9}*x\). The question asks: by what number we should divide x to get \(\frac{29}{9}*x\)? The answer is \(\frac{9}{20}\):

\(\frac{x}{(\frac{9}{20})} = \frac{20}{9}*x\).

Answer: D.

OPEN DISCUSSION OF THIS QUESTION IS HERE: dividing-by-3-8-and-then-multiplying-by-5-6-is-the-same-as-dividing-by-211676.html



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